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arxiv: hep-ph/0602204 · v1 · submitted 2006-02-22 · ✦ hep-ph · hep-th

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A comparison of efficient methods for the computation of Born gluon amplitudes

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classification ✦ hep-ph hep-th
keywords methodsamplitudesborncomputationnumericalrelationsaccuracyaddition
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We compare four different methods for the numerical computation of the pure gluonic amplitudes in the Born approximation. We are in particular interested in the efficiency of the various methods as the number n of the external particles increases. In addition we investigate the numerical accuracy in critical phase space regions. The methods considered are based on (i) Berends-Giele recurrence relations, (ii) scalar diagrams, (iii) MHV vertices and (iv) BCF recursion relations.

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